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8 papers · 2 filters
On the spectrum of magnetic Dirac operators with Coulomb-type perturbations
Serge Richard, Rafael Tiedra de Aldecoa
We carry out the spectral analysis of singular matrix valued perturbations of 3-dimensional Dirac operators with variable magnetic field of constant direction. Under suitable assum…
Generalized definition of time delay in scattering theory
C. Gerard, R. Tiedra de Aldecoa
We advocate for the systematic use of a symmetrized definition of time delay in scattering theory. In two-body scattering processes, we show that the symmetrized time delay exists…
Renormalization of the Orientable Non-commutative Gross-Neveu Model
Fabien Vignes-Tourneret
We prove that the non-commutative Gross-Neveu model on the two-dimensional Moyal plane is renormalizable to all orders. Despite a remaining UV/IR mixing, renormalizability can be a…
Infinite dimensional covariance and non relativistic limits in time dependent theories
Antoine D. Coste
We give some account of investigations for the role of infinite dimensional algebras in time dependent systems.
Parametric Representation of Noncommutative Field Theory
Razvan Gurau, Vincent Rivasseau
In this paper we investigate the Schwinger parametric representation for the Feynman amplitudes of the recently discovered renormalizable quantum field theory on the Moyal…
Spectral analysis for adjacency operators on graphs
M. Mantoiu, S. Richard, R. Tiedra de Aldecoa
We put into evidence graphs with adjacency operator whose singular subspace is prescribed by the kernel of an auxiliary operator. In particular, for a family of graphs called admis…